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Dissertations / Theses on the topic 'G-bundles'

Author: Grafiati
Published: 14 March 2023

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1

Grguric, Izak. "Equivariant bordism and G-bundles." Thesis, University of British Columbia, 2008. http://hdl.handle.net/2429/7567.

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Let G be the cyclic group of 4 elements and H the subgroup of G of order 2. We study the actions of G on manifolds modulo the equivariant bordism relation by studying the equivariant bordism relation on G-vector bundles; specifically, we focus on G-vector bundles such that G action is free away from the zero section, and the isotropy group of each point in the base is equal to H. We obtain a complete set of characteristic numbers that deter mines when such a G-vector bundle is nulibordant. Using this result, we obtain a geometric splitting of the bordism classes of these bundles into ge ometri
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2

Schaposnik, Laura P. "Spectral data for G-Higgs bundles." Thesis, University of Oxford, 2013. http://ora.ox.ac.uk/objects/uuid:7b483c4c-53e4-4449-88c2-7a75d98ac861.

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We develop a new geometric method of understanding principal G-Higgs bundles through their spectral data, for G a real form of a complex Lie group. In particular, we consider the case of G a split real form, as well as G = SL(2,R), U(p,p), SU(p,p), and Sp(2p,2p). Further, we give some applications of our results, and discuss open questions.
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3

Zucca, Alessandro. "Dirac Operators on Quantum Principal G-Bundles." Doctoral thesis, SISSA, 2013. http://hdl.handle.net/20.500.11767/4108.

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In this thesis I discuss some results on the noncommutative (spin) geometry of quantum principal G-bundles. The first part of the thesis is devoted to the study of spectral triples over toral bundles; extending some recent results by L. Dabrowski and A. Sitarz, we introduce the notion of projectable spectral triple for T^n-bundles. Moreover, we work out twisted Dirac operators. We discuss, in particular, the application of these results to noncommutative tori. In the second part of the thesis, instead, we work out a method for constructing real spectral triples over cleft quantum principal G-b
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4

Coiai, Fabrizio. "Boundedness problem for semistable G-bundles in positive characteristic." Doctoral thesis, SISSA, 2004. http://hdl.handle.net/20.500.11767/4248.

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5

Muñoz, Castañeda Ángel Luis [Verfasser]. "Principal G-bundles on nodal curves / Ángel Luis Muñoz Castañeda." Berlin : Freie Universität Berlin, 2017. http://d-nb.info/1139709437/34.

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6

Duarte, Gustavo Ignácio. "Integrabilidade de G-Estruturas." Universidade de São Paulo, 2018. http://www.teses.usp.br/teses/disponiveis/45/45131/tde-05072018-111337/.

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Esta dissertação tem como objetivo discutir sob quais condições uma G- estrutura é integrável. Primeiro apresentam-se fibrados principais, vetoriais e outras estruturas a elas associados como torção, espaços verticais, espaços horizontais e conexões. Depois apresentam-se a definição de G-estrutura, de integrabilidade de G-estruturas, com exemplos e as respectivas versões de integrabilidade e equivalência de G-estruturas. Finalmente, são descritas condições mais gerais que garantem a integrabilidade de G-estruturas.<br>This dissertation aims to discuss what are the conditions for the inte- grab
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7

Stein, Luba [Verfasser]. "On the Hilbert uniformization of moduli spaces of flat G-bundles over Riemann surfaces / Luba Stein." Bonn : Universitäts- und Landesbibliothek Bonn, 2014. http://d-nb.info/1047145499/34.

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8

Souza, Taciana Oliveira. "Teoremas de (H,G)-coincidências para variedades e classificação global de singularidades isoladas em dimensões (6,3)." Universidade de São Paulo, 2013. http://www.teses.usp.br/teses/disponiveis/55/55135/tde-10062013-161959/.

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Este trabalho é constituido por duas partes. Na primeira parte, obtivemos algumas generalizações do clássico Teorema de Borsuk-Ulam em termos de (H,G)-coincidências. Na segunda parte, estendemos a caracterização dos germes de aplicações triviais, em codimensão 3, pelas fibrações de Milnor iniciada por Church e Lamotke em [11]. Usamos essa caracterização na classificação global de singularidades isoladas em dimensões (6, 3)<br>This work consists of two parts. In the first part, we obtain some generalizations of the classical Borsuk-Ulam Theorem in terms of (H,G)-coincidences. In the second part
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9

Balčiūnas, Aidas. "Baigtinio tipo g- struktūrų vidinės sietys." Master's thesis, Lithuanian Academic Libraries Network (LABT), 2010. http://vddb.laba.lt/obj/LT-eLABa-0001:E.02~2010~D_20100702_112749-84649.

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Vienas svarbiausių šiuolaikinės diferencialinės geometrijos skyrių yra glodžių G- struktūrų teorija, kuriai pradžią davė klasikinės Rymano erdvės struktūros nagrinėjimas. G- struktūra glodžioje daugdaroje yra gaunama paėmus jos reperių sluoksniuotės redukciją , atitinkantį neišsigimusių matricų grupės pogrupį G. G-struktūros egzistuoja ne bet kurioje daugdaroje. Šiame darbe yra nagrinėjama tik baigtinio tipo G- struktūrų vidinės sietys. Yra įrodoma, kad kiekvieną baigtinio tipo G- struktūrą atitinka baigtinio tipo diferencialinė lygtis ant daugdaros . G- struktūrų geometrija nagrinėjama netrad
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10

Grégoire, Chloé. "Espace de modules des G2-fibrés principaux sur une courbe algébrique." Thesis, Montpellier 2, 2010. http://www.theses.fr/2010MON20086.

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L'objet de cette thèse est l'étude de l'espace de modules des G_2-fibrés principaux sur une courbe complexe projective connexe lisse, où G_2 désigne le groupe de Lie exceptionnel de plus petit rang. Le groupe G_2 est tout d'abord présenté comme le groupe des automorphismes de l'algèbre complexe des octaves de Cayley. D'autres définitions sont ensuite proposées. Les différentes réductions et extensions que peut admettre un G_2-fibré principal sont étudiées ainsi que la relation entre la stabilité d'un G_2-fibré principal et celle de son fibré vectoriel associé. L'espace de modules des G_2-fibré
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11

Souza, Bruno Caldeira Carlotti de [UNESP]. "Sobre (H,G)-coincidências de aplicações com domínio em espaços com ações de grupos finitos." Universidade Estadual Paulista (UNESP), 2017. http://hdl.handle.net/11449/148916.

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Submitted by Bruno Caldeira Carlotti de Souza null (brunoccarlotti@gmail.com) on 2017-03-02T01:45:21Z No. of bitstreams: 1 Dissertação - Bruno C. C. de Souza.pdf: 1030573 bytes, checksum: e3dd1e43953565236359b6d10831067c (MD5)<br>Approved for entry into archive by LUIZA DE MENEZES ROMANETTO (luizamenezes@reitoria.unesp.br) on 2017-03-07T18:32:31Z (GMT) No. of bitstreams: 1 souza_bcc_me_sjrp.pdf: 1030573 bytes, checksum: e3dd1e43953565236359b6d10831067c (MD5)<br>Made available in DSpace on 2017-03-07T18:32:31Z (GMT). No. of bitstreams: 1 souza_bcc_me_sjrp.pdf: 1030573 bytes, checksum: e3dd1
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12

Mercado, Henry José Gullo. "O anel de cohomologia do espaço de órbitas de Zp -ações livres sobre produtos de esferas." Universidade de São Paulo, 2011. http://www.teses.usp.br/teses/disponiveis/55/55135/tde-09062011-114204/.

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Denotemos por X ~ p \'S POT. m\' x \'S POT. n\' um espaço finitístico com anel de cohomologia módulo p isomorfo ao anel de cohomologia de um produto de esferas \'S POT. m\' x \'S POT. n\', o qual admite ação livre do grupo cíclico G = Zp, com p um primo ímpar. Nosso objetivo neste trabalho é determinar o anel de cohomologia do espaço de órbitas X / G, usando como ferramenta principal a seqüência espectral de Leray-Serre associada à fibração de Borel X \'SETA\' \'imath\' X G \'SETA\' \'pi\' B G, onde BG é o espaço classificante do G-fibrado universal wG = (EG;BG; pG; G;G) e XG = EG x
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13

Ferreira, Susana Raquel Carvalho. "Schottky principal G-bundles over compact Riemann surfaces." Doctoral thesis, 2014. http://hdl.handle.net/10362/13333.

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14

Krepski, Derek. "Pre-quantization of the Moduli Space of Flat G-bundles." Thesis, 2009. http://hdl.handle.net/1807/19047.

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This thesis studies the pre-quantization of quasi-Hamiltonian group actions from a cohomological viewpoint. The compatibility of pre-quantization with symplectic reduction and the fusion product are established, and are used to understand the necessary and sufficient conditions for the pre-quantization of M(G,S), the moduli space of at flat G-bundles over a closed surface S. For a simply connected, compact, simple Lie group G, M(G,S) is known to be pre-quantizable at integer levels. For non-simply connected G, however, integrality of the level is not sufficient for pre-quantization, and this
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15

Baird, Thomas John. "The moduli space of flat G-bundles over a nonorientable surface." 2008. http://link.library.utoronto.ca/eir/EIRdetail.cfm?Resources__ID=742554&T=F.

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16

"Rational surfaces, simple Lie algebras and flat G bundles over elliptic curves." Thesis, 2007. http://library.cuhk.edu.hk/record=b6074354.

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It is well-known that del Pezzo surfaces of degree 9 -- n. are in one-to-one correspondence to flat En bundles over elliptic curves which are anti-canonical curves of such surfaces. In my thesis, we study a broader class of rational surfaces which are called ADE surfaces. We construct Lie algebra bundles of any type on these surfaces, and extend the above correspondence to flat G bundles over elliptic curves, where G is a simple, compact and simply-connected Lie group of any type. Concretely, we establish a natural identification between the following two very different moduli spaces for a L
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17

Connery-Grigg, Dustin. "Fibrés symplectiques et la géométrie des difféomorphismes hamiltoniens." Thèse, 2016. http://hdl.handle.net/1866/18774.

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Ce mémoire porte sur quelques éléments de la théorie des fibrés symplectiques et leurs usages en étudiant la géométrie hoferienne sur le groupe de difféomorphismes hamiltoniens. En particulier en assumant un certain confort avec les notions de base de la géométrie différentielle et de la topologie algébrique on développe dans le premier chapitre les rudiments nécessaires de la théorie des G-fibrés et, dans la deuxième, tous les faits nécessaires de la topologie symplectique et les difféomorphismes hamiltoniens pour comprendre la théorie de base des fibrés symplectiques, à voir le morphisme de
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